The name of Ryan Reynolds and Blake Lively's baby has been the subject of speculation since her birth two months ago. Meanwhile, it doesn't take long for their daughter to take after her mom as the cute family reportedly posed nude for the cover of Allure magazine.

In an appearance at "The David Letterman Show," Ryan Reynolds didn't crack even if the comedian was hammering him into revealing his and Blake Lively's baby's name.

"Here's a beautiful name - Sophia... is that your daughter's name?' Letterman asks the actor.

"No, it's not at all, not even close," Ryan Reynolds tells the host.

Letterman proceeded to list down names including Olivia, Madison, Emma, Ruth, Abigail and Isabella, but failed to get a reaction from the actor.

However, a report from E! News revealed that the name of Ryan Reynolds and Blake Lively's baby is so far different from the earlier reported "Violet."

The website said, "A source has revealed a name to us, one that really couldn't be more different in tone and inspiration than Violet. We're hearing that Blake and Ryan named their baby... James!"

"And if that sounds like a boy's name, remember-her mom is named Blake," the article added. "Jaime King used to go by James, not to mention Ryan is an increasingly popular girls' name."

Meanwhile, Ryan Reynolds and Blake Lively's baby will reportedly make her big debut in a cover for the naked issue of Allure magazine, according to Us Weekly.

The source revealed, "After Blake took some fashion shots, everyone was kicked out of the room and a curtain went up. Then they posed nude holding the baby."

Strangely enough, the source said that Ryan Reynolds and Blake Lively didn't call their baby daughter by her first name even when they were doting on her during the whole photoshoot.

The couple reportedly just called her "baby."